Determinant
Number associated with a table (or a matrix) of [latex]n^{2}[/latex] elements used to represent the sum of specific products of the elements in the table.
If there are [latex]n^{2}[/latex] elements, then there are n rows and n columns in the table.
Consider the matrix of order 2 : A = [latex]\begin{pmatrix}a_{1} & b_{1}\\a_{2} & b_{2}\end{pmatrix}[/latex]
The determinant D of this matrix is : D = [latex]a_{1}b_{2} \space – \space a_{2}b_{1}[/latex]
Cramer's rule uses the notation of determinant to solve a system of linear equations.